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Finding the Fourth Proportional to 11,348.60, 15,660.75 and 6,312.56

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Solution

The fourth proportional to 11,348.60, 15,660.75 and 6,312.56 is: 8,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.60 : 15,660.75 = 6,312.56 : x
  2. Step 2: Convert to fraction form
    11,348.60/15,660.75 = 6,312.56/x
  3. Step 3: Cross multiply
    11,348.60x = 15,660.75 × 6,312.56
  4. Step 4: Simplify right side
    11,348.60x = 98,859,424.02
  5. Step 5: Solve for x
    x = 98,859,424.02/11,348.60
  6. Step 6: Final answer
    x = 8,711.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.